667.37 is what percent of 4449.16 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4449.16 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 4449.16, so we can write it down as 100%=4449.16.
4. We know, that x% equals 667.37 of the output value, so we can write it down as x%=667.37.
5. Now we have two simple equations:
1) 100%=4449.16
2) x%=667.37
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=4449.16/667.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.37 is what percent of 4449.16

100%/x%=4449.16/667.37
(100/x)*x=(4449.16/667.37)*x       - we multiply both sides of the equation by x
100=6.6667066245111*x       - we divide both sides of the equation by (6.6667066245111) to get x
100/6.6667066245111=x
14.999910095389=x
x=14.999910095389

now we have:
667.37 is 14.999910095389% of 4449.16